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Finding the Fourth Proportional to 289.47, 396.85 and 281.73

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Solution

The fourth proportional to 289.47, 396.85 and 281.73 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 396.85 = 281.73 : x
  2. Step 2: Convert to fraction form
    289.47/396.85 = 281.73/x
  3. Step 3: Cross multiply
    289.47x = 396.85 × 281.73
  4. Step 4: Simplify right side
    289.47x = 111,803.63
  5. Step 5: Solve for x
    x = 111,803.63/289.47
  6. Step 6: Final answer
    x = 386.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.